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Finding the Third Proportional to 118,935 and 184,036

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Solution

The third proportional to 118,935 and 184,036 is: 284,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,935 : 184,036 = 184,036 : x
  2. Step 2: Convert to fraction form
    118,935/184,036 = 184,036/x
  3. Step 3: Cross multiply
    118,935x = 184,036 × 184,036
  4. Step 4: Simplify right side
    118,935x = 33,869,249,296
  5. Step 5: Solve for x
    x = 33,869,249,296/118,935
  6. Step 6: Final answer
    x = 284,771.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.